The group inverse of subdivision networks

In this paper, given a network and a subdivision of it, we show how the Group Inverse of the subdivision network can be related to the Group Inverse of initial given network. Our approach establishes a relationship between solutions of related Poisson problems on both networks and takes advantatge o...

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Bibliographic Details
Published in:Electronic notes in discrete mathematics Vol. 54; pp. 295 - 300
Main Authors: Carmona, Ángeles, Mitjana, Margarida, Monsó, Enric
Format: Journal Article Publication
Language:English
Published: Elsevier B.V 01.10.2016
Subjects:
15 Linear and multilinear algebra; matrix theory
Classificació AMS
Group Inverse
Laplace tranformations
Laplace, Transformacions de
Laplacian Matrix
Matemàtiques i estadística
Matrices
Matrius (Matemàtica)
Network
Subdivision
Àrees temàtiques de la UPC
Group Inverse
Laplacian matrix
Subdivision
Network
ISSN:1571-0653, 1571-0653
Online Access:Get full text
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Description
Summary:In this paper, given a network and a subdivision of it, we show how the Group Inverse of the subdivision network can be related to the Group Inverse of initial given network. Our approach establishes a relationship between solutions of related Poisson problems on both networks and takes advantatge on the definition of the Group Inverse matrix.
ISSN:1571-0653
1571-0653
DOI:10.1016/j.endm.2016.09.051